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Finding the Fourth Proportional to 3,634.86, 5,016.06 and 2,142.84

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Solution

The fourth proportional to 3,634.86, 5,016.06 and 2,142.84 is: 2,957.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.86 : 5,016.06 = 2,142.84 : x
  2. Step 2: Convert to fraction form
    3,634.86/5,016.06 = 2,142.84/x
  3. Step 3: Cross multiply
    3,634.86x = 5,016.06 × 2,142.84
  4. Step 4: Simplify right side
    3,634.86x = 10,748,614.01
  5. Step 5: Solve for x
    x = 10,748,614.01/3,634.86
  6. Step 6: Final answer
    x = 2,957.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.